Solve 2x+4/5=2/7(49-14x)

$$\frac { 2 x + 4 } { 5 } = \frac { 2 } { 7 } ( 49 - 14 x )$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 35, the least common multiple of 5,7.

$$7\left(2x+4\right)=10\left(49-14x\right)$$

Use the distributive property to multiply 7 by 2x+4.

$$14x+28=10\left(49-14x\right)$$

Use the distributive property to multiply 10 by 49-14x.

$$14x+28=490-140x$$

Add 140x to both sides.

$$14x+28+140x=490$$

Combine 14x and 140x to get 154x.

$$154x+28=490$$

Subtract 28 from both sides.

$$154x=490-28$$

Subtract 28 from 490 to get 462.

$$154x=462$$

Divide both sides by 154.

$$x=\frac{462}{154}$$

Divide 462 by 154 to get 3.

$$x=3$$